E. Zelmanov

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4 papers · 1 filter

math.RA2025

Jordan homomorphisms: A survey

Matej BreÅ¡ar, Efim Zelmanov

The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.

math.RA2025

Jordan homomorphisms and T-ideals

Matej BreÅ¡ar, Efim Zelmanov

Let $A$ and $B$ be associative algebras over a field $F$ with {\rm char} $(F) \neq = 2$ . Our first main result states that if $A$ is unital and equal to its commutator ideal, then every…

math.RA2025

Simple Jordan superalgebras with the even parts of Clifford type

Ivan Shestakov, Efim Zelmanov

The purpose of this paper is a partial progress towards classification of simple infinite dimensional Jordan superalgebras. First, we prove that the only simple infinite dimensiona…

math.RA2025

On Lie isomorphisms of rings

Oksana Bezushchak, Iryna Kashuba, Efim Zelmanov

An associative ring $A$ gives rise to the Lie ring $A^{(-)} = (A, [a, b] = ab - ba)$ . The subject of isomorphisms of Lie rings $A^{(-)}$ and $[A, A]$ has attracted considerable attention i…